Lectures on Vanishing Theorems (DMV Seminar)

3 avg rating
( 1 ratings by Goodreads )
 
9783764328221: Lectures on Vanishing Theorems (DMV Seminar)
View all copies of this ISBN edition:
 
 

Introduction M. Kodaira's vanishing theorem, saying that the inverse of an ample invert­ ible sheaf on a projective complex manifold X has no cohomology below the dimension of X and its generalization, due to Y. Akizuki and S. Nakano, have been proven originally by methods from differential geometry ([39J and [1]). Even if, due to J.P. Serre's GAGA-theorems [56J and base change for field extensions the algebraic analogue was obtained for projective manifolds over a field k of characteristic p = 0, for a long time no algebraic proof was known and no generalization to p > 0, except for certain lower dimensional manifolds. Worse, counterexamples due to M. Raynaud [52J showed that in characteristic p > 0 some additional assumptions were needed. This was the state of the art until P. Deligne and 1. Illusie [12J proved the degeneration of the Hodge to de Rham spectral sequence for projective manifolds X defined over a field k of characteristic p > 0 and liftable to the second Witt vectors W2(k). Standard degeneration arguments allow to deduce the degeneration of the Hodge to de Rham spectral sequence in characteristic zero, as well, a re­ sult which again could only be obtained by analytic and differential geometric methods beforehand. As a corollary of their methods M. Raynaud (loc. cit.) gave an easy proof of Kodaira vanishing in all characteristics, provided that X lifts to W2(k).

"synopsis" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Helene Esnault
Published by Birkhauser Verlag AG (1992)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Birkhauser Verlag AG, 1992. PAP. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9783764328221

More Information About This Seller | Contact this Seller

Buy New
US$ 107.02
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

Esnault
Published by Birkhäuser (2016)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Birkhäuser, 2016. Paperback. Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Seller Inventory # ria9783764328221_lsuk

More Information About This Seller | Contact this Seller

Buy New
US$ 106.54
Convert Currency

Add to Basket

Shipping: US$ 5.35
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

ESNAULT
Published by BirkhÇÏuser (1992)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Paperback Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description BirkhÇÏuser, 1992. Paperback. Condition: NEW. 9783764328221 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0370621

More Information About This Seller | Contact this Seller

Buy New
US$ 102.32
Convert Currency

Add to Basket

Shipping: US$ 11.04
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Helene Esnault
Published by Birkhauser Verlag AG (1992)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Birkhauser Verlag AG, 1992. PAP. Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # LQ-9783764328221

More Information About This Seller | Contact this Seller

Buy New
US$ 103.66
Convert Currency

Add to Basket

Shipping: US$ 12.42
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Esnault; Vieweg
Published by Birkhäuser (2004)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Softcover Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Birkhäuser, 2004. Condition: New. This item is printed on demand for shipment within 3 working days. Seller Inventory # LP9783764328221

More Information About This Seller | Contact this Seller

Buy New
US$ 118.09
Convert Currency

Add to Basket

Shipping: US$ 3.67
From Germany to U.S.A.
Destination, Rates & Speeds

6.

Esnault
Published by Birkhauser
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Paperback Quantity Available: > 20
Seller:
BuySomeBooks
(Las Vegas, NV, U.S.A.)
Rating
[?]

Book Description Birkhauser. Paperback. Condition: New. 164 pages. This book, an extended collection of lectures delivered at Schloss Reisensburg during the DMV-Seminar Algebraic Geometry, 1991, aims at presenting Kodairas vanishing theorem and several generalizations in a way which is as algebraic as possible. We develop the theory of logarithmic de Rham complexes, the use of the corresponding spectral sequence, lifting properties for manifolds and their Frobenius morphisms in characteristic p0 and the proof of the degeneration of the Hodge to de Rham spectral sequence with algebraic methods, due to P. Deligne and L. Illusie. We apply those methods to obtain vanishing theorems. Several typical applications and the generic theorems of M. Green and R. Lazarsfeld complete the picture. This exposition is self-contained and accessible to anyone with background in modern algebraic geometry. The necessary formalisms from cohomology theory are recalled in an appendix. Contents: Introduction Kodairas vanishing theorem, a general discussion Logarithmic de Rham complexes Integral parts of Q-divisors and coverings Vanishing theorems, the formal set-up Vanishing theorems for invertible sheaves Differential forms and higher direct images Some applications of vanishing theorems Characteristic p methods: Lifting of schemes The Frobenius and its liftings The proof of Deligne and Illusie Vanishing theorems in characteristic p. Deformation theory for cohomology groups Generic vanishing theorems Appendix: Hypercohomology and spectral sequences References This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9783764328221

More Information About This Seller | Contact this Seller

Buy New
US$ 131.96
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

7.

Helene Esnault; Eckart Viehweg
Published by Birkhauser (2004)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Birkhauser, 2004. Paperback. Condition: New. book. Seller Inventory # M3764328223

More Information About This Seller | Contact this Seller

Buy New
US$ 140.77
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

8.

Esnault/ Vieweg
Published by Birkhäuser Basel (1992)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Paperback Quantity Available: 2
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description Birkhäuser Basel, 1992. Paperback. Condition: Brand New. In Stock. Seller Inventory # x-3764328223

More Information About This Seller | Contact this Seller

Buy New
US$ 142.74
Convert Currency

Add to Basket

Shipping: US$ 8.28
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Helene Esnault, Eckart Viehweg
Published by Birkhauser (2017)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Paperback Quantity Available: 2
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Birkhauser, 2017. Paperback. Condition: New. Never used! This item is printed on demand. Seller Inventory # P113764328223

More Information About This Seller | Contact this Seller

Buy New
US$ 152.57
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

10.

Hélène Esnault, Eckart Viehweg
Published by Birkhauser Verlag AG, Switzerland (1992)
ISBN 10: 3764328223 ISBN 13: 9783764328221
New Paperback Quantity Available: 10
Print on Demand
Seller:
The Book Depository EURO
(London, United Kingdom)
Rating
[?]

Book Description Birkhauser Verlag AG, Switzerland, 1992. Paperback. Condition: New. 1992 ed.. Language: English . Brand New Book ***** Print on Demand *****.Introduction M. Kodaira s vanishing theorem, saying that the inverse of an ample invert- ible sheaf on a projective complex manifold X has no cohomology below the dimension of X and its generalization, due to Y. Akizuki and S. Nakano, have been proven originally by methods from differential geometry ([39J and [1]). Even if, due to J.P. Serre s GAGA-theorems [56J and base change for field extensions the algebraic analogue was obtained for projective manifolds over a field k of characteristic p = 0, for a long time no algebraic proof was known and no generalization to p > 0, except for certain lower dimensional manifolds. Worse, counterexamples due to M. Raynaud [52J showed that in characteristic p > 0 some additional assumptions were needed. This was the state of the art until P. Deligne and 1. Illusie [12J proved the degeneration of the Hodge to de Rham spectral sequence for projective manifolds X defined over a field k of characteristic p > 0 and liftable to the second Witt vectors W2(k). Standard degeneration arguments allow to deduce the degeneration of the Hodge to de Rham spectral sequence in characteristic zero, as well, a re- sult which again could only be obtained by analytic and differential geometric methods beforehand. As a corollary of their methods M. Raynaud (loc. cit.) gave an easy proof of Kodaira vanishing in all characteristics, provided that X lifts to W2(k). Seller Inventory # AAV9783764328221

More Information About This Seller | Contact this Seller

Buy New
US$ 165.13
Convert Currency

Add to Basket

Shipping: US$ 4.14
From United Kingdom to U.S.A.
Destination, Rates & Speeds