Welschinger invariants revisited

Ilia Itenberg; Viatcheslav Kharlamov; Eugenii Shustin

doi:10.1007/978-3-319-52471-9_16

Welschinger invariants revisited

Ilia Itenberg^*, Viatcheslav Kharlamov, Eugenii Shustin

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We establish the enumerativity of (original and modified) Welschinger invariants for every real divisor on any real algebraic del Pezzo surface and give an algebro-geometric proof of the invariance of that count both up to variation of the point constraints on a given surface and variation of the complex structure of the surface itself.

Original language	English
Title of host publication	Analysis Meets Geometry
Subtitle of host publication	The Mikael Passare Memorial Volume
Editors	Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson
Publisher	Springer International Publishing
Pages	239-260
Number of pages	22
ISBN (Electronic)	978-3-319-52471-9
ISBN (Print)	9783319524696
DOIs	https://doi.org/10.1007/978-3-319-52471-9_16
State	Published - 2017

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

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10.1007/978-3-319-52471-9_16

Cite this

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Welschinger invariants revisited. / Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii.
Analysis Meets Geometry: The Mikael Passare Memorial Volume. ed. / Mats Andersson; Jan Boman; Christer Kiselman; Pavel Kurasov; Ragnar Sigurdsson. Springer International Publishing, 2017. p. 239-260 (Trends in Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Welschinger invariants revisited

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