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- W1619206994 abstract "In the past 20 years, compactifications of the families of curves in algebraic varieties X have been studied via stable maps, Hilbert schemes, stable pairs, unramified maps, and stable quotients. Each path leads to a different enumeration of curves. A common thread is the use of a 2-term deformation/obstruction theory to define a virtual fundamental class. The richest geometry occurs when X is a nonsingular projective variety of dimension 3. We survey here the 13/2 principal ways to count curves with special attention to the 3-fold case. The different theories are linked by a web of conjectural relationships which we highlight. Our goal is to provide a guide for graduate students looking for an elementary route into the subject." @default.
- W1619206994 created "2016-06-24" @default.
- W1619206994 creator A5038890583 @default.
- W1619206994 creator A5061805366 @default.
- W1619206994 date "2014-03-13" @default.
- W1619206994 modified "2023-10-14" @default.
- W1619206994 title "13/2 ways of counting curves" @default.
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- W1619206994 doi "https://doi.org/10.1017/cbo9781107279544.007" @default.
- W1619206994 hasPublicationYear "2014" @default.
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