Duality, Bridgeland wall-crossing and flips of secant varieties

Cristian Martinez

doi:10.1142/S0129167X17500112

Duality, Bridgeland wall-crossing and flips of secant varieties

Cristian Martinez

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Let v_d(ℙ²) ϵ |O_ℙ²(d)| denote the d-uple Veronese surface. After studying some general aspects of the wall-crossing phenomena for stability conditions on surfaces, we are able to describe a sequence of flips of the secant varieties of v_d(ℙ²) by embedding the blow-up bl_vd(ℙ²) |O_ℙ²(d)| into a suitable moduli space of Bridgeland semistable objects on ℙ².

Original language	English
Article number	17500112
Journal	International Journal of Mathematics
Volume	28
Issue number	2
DOIs	https://doi.org/10.1142/S0129167X17500112
Publication status	Published - Feb 1 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© world scientific publishing company.

ASJC Scopus Subject Areas

General Mathematics

Keywords

Moduli of torsion sheaves
Secant varieties
Stability conditions
Wall-crossing

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10.1142/S0129167X17500112

Cite this

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Duality, Bridgeland wall-crossing and flips of secant varieties

Abstract

Bibliographical note

ASJC Scopus Subject Areas

Keywords

Access to Document

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