NDLI: Symplectic enumeration

Content Provider	Springer Nature Link
Author	Levcovitz, D. Vainsencher, I.
Copyright Year	2011
Abstract	Every complex projective space of odd dimension carries a natural contact structure. We give first steps towards the enumeration of curves in ℙ3 tangent to the contact structure. Such a curve is involutive in the sense that its homogeneous ideal is closed under Poisson bracket. Involutive curves in ℙ3 contained in a plane split as a union of concurrent lines. We give a formula for the number of plane involutive curves of a given degree in ℙ3 meeting the appropriate number of lines. We also discuss strategies to deal with the enumeration of involutive rational curves.
Ending Page	358
Page Count	12
Starting Page	347
File Format	PDF
ISSN	16787544
e-ISSN	16787714
Journal	Bulletin of the Brazilian Mathematical Society
Issue Number	3
Volume Number	42
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-09-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Divisors, linear systems, invertible sheaves Enumerative problems (combinatorial problems) Theoretical, Mathematical and Computational Physics involutive varieties Jacobians, Prym varieties Mathematics enumerative geometry intersection theory Algebraic theory contact curves
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Symplectic enumeration