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 › Research Article › peer-review

8 Scopus citations

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 (US)
Article number	17500112
Journal	International Journal of Mathematics
Volume	28
Issue number	2
DOIs	https://doi.org/10.1142/S0129167X17500112
State	Published - Feb 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/S0129167X17500112

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abstract = "Let vd(ℙ2) ϵ |Oℙ2(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 vd(ℙ2) by embedding the blow-up blvd(ℙ2) |Oℙ2(d)| into a suitable moduli space of Bridgeland semistable objects on ℙ2.",

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N2 - Let vd(ℙ2) ϵ |Oℙ2(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 vd(ℙ2) by embedding the blow-up blvd(ℙ2) |Oℙ2(d)| into a suitable moduli space of Bridgeland semistable objects on ℙ2.

AB - Let vd(ℙ2) ϵ |Oℙ2(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 vd(ℙ2) by embedding the blow-up blvd(ℙ2) |Oℙ2(d)| into a suitable moduli space of Bridgeland semistable objects on ℙ2.

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Duality, Bridgeland wall-crossing and flips of secant varieties

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