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

School of Mathematical Sciences

Tel Aviv University

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
Pages	239-260
Number of pages	22
ISBN (Electronic)	978-3-319-52471-9
DOIs	https://doi.org/10.1007/978-3-319-52471-9_16
State	Published - 2017

Publication series

Name	Trends in Mathematics

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

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

Cite this

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author = "Ilia Itenberg and Viatcheslav Kharlamov and Eugenii Shustin",

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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. 2017. p. 239-260 (Trends in Mathematics).

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

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AU - Itenberg, Ilia

AU - Kharlamov, Viatcheslav

AU - Shustin, Eugenii

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AB - 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.

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T3 - Trends in Mathematics

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BT - Analysis Meets Geometry

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A2 - Kurasov, Pavel

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ER -

Welschinger invariants revisited

Abstract

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