Some special properties of the adjunction theory for 3-folds in [double-struck capital]P⁵ / Mauro C. Beltrametti, Michael Schneider, [and] Andrew J. Sommese.

This paper studies the adjunction theory of smooth 3-folds in [double-struck capital]P⁵. Because of the many special restriction on such 3-folds the structure of the adjunction theoretic reductions are especially simple, e.g., the 3-fold equals its first reduction, the second reduction is smooth exc...

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Bibliographic Details
Main Authors: Beltrametti, Mauro, 1948-, Schneider, Michael, 1942 May 18- (Author), Sommese, Andrew John (Author)
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, [1995]
Series:Memoirs of the American Mathematical Society ; Volume 116, no. 554.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Beltrametti, Mauro,  |d 1948-  |1 https://id.oclc.org/worldcat/entity/E39PCjrYvR6xv3JqKYHYWxpRYX 
245 1 0 |a Some special properties of the adjunction theory for 3-folds in [double-struck capital]P⁵ /  |c Mauro C. Beltrametti, Michael Schneider, [and] Andrew J. Sommese. 
264 1 |a Providence, RI :  |b American Mathematical Society,  |c [1995] 
264 4 |c ©1995 
300 |a 1 online resource (viii, 79 pages) :  |b illustrations, tables 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v Volume 116, Number 554 
500 |a On title page "P" ([double-struck capital]P) is the symbol for n-dimensional space 
500 |a "July 1995, volume 116, number 554 (first of 4 numbers)." 
504 |a Includes bibliographical references (pages 61-63). 
505 0 0 |t Introduction --  |t Background material --  |t The second reduction for [italic]n-folds in [double-struck capital]P²[superscript italic]n⁻¹ --  |t General formulae for threefolds in [double-struck capital]P⁵ --  |t Nefness and bigness of [italic capital]K[subscript italic capital]X + 2[script capital]K --  |t Ampleness of [italic capital]K[subscript italic capital]X + 2[script capital]K --  |t Nefness and bigness of [italic capital]K[subscript italic capital]X + [script capital]K --  |t Invariants for threefolds in [double-struck capital]P⁵ up to degree 12. 
520 |a This paper studies the adjunction theory of smooth 3-folds in [double-struck capital]P⁵. Because of the many special restriction on such 3-folds the structure of the adjunction theoretic reductions are especially simple, e.g., the 3-fold equals its first reduction, the second reduction is smooth except possibly for a few explicit low degrees, and the formulae relating the projective invariants of the given 3-fold with the invariants of its second reduction are very explicit. Tables summarizing the classification of such 3-folds up degree 12 are included. 
588 0 |a Print version record. 
546 |a English. 
650 0 |a Adjunction theory. 
650 0 |a Threefolds (Algebraic geometry) 
650 7 |a Adjunction theory  |2 fast 
650 7 |a Threefolds (Algebraic geometry)  |2 fast 
700 1 |a Schneider, Michael,  |d 1942 May 18-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJcR9Cm4938Wr3vHMB6R8C 
700 1 |a Sommese, Andrew John.,  |e author. 
758 |i has work:  |a Some special properties of the adjunction theory for 3-folds in P⁵ (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGqW3JxVtmkQyfdtf3wHmd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Beltrametti, Mauro, 1948-  |t Some special properties of the adjunction theory for 3-folds in P⁵.  |d Providence, Rhode Island : American Mathematical Society, ©1995  |h viii, 63 pages  |k Memoirs of the American Mathematical Society ; Volume 116, Number 554  |x 0065-9266  |z 9780821802342 
830 0 |a Memoirs of the American Mathematical Society ;  |v Volume 116, no. 554. 
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