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

Access to Document

10.1142/S0129167X17500112

Cite this

@article{3e6bdc64180b45499c2b22825f378b3e,

title = "Duality, Bridgeland wall-crossing and flips of secant varieties",

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.",

author = "Cristian Martinez",

note = "Publisher Copyright: {\textcopyright} world scientific publishing company.",

year = "2017",

month = feb,

day = "1",

doi = "10.1142/S0129167X17500112",

language = "English (US)",

volume = "28",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "2",

}

TY - JOUR

T1 - Duality, Bridgeland wall-crossing and flips of secant varieties

AU - Martinez, Cristian

N1 - Publisher Copyright: © world scientific publishing company.

PY - 2017/2/1

Y1 - 2017/2/1

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.

UR - https://www.scopus.com/pages/publications/85012877608

UR - https://www.scopus.com/inward/citedby.url?scp=85012877608&partnerID=8YFLogxK

U2 - 10.1142/S0129167X17500112

DO - 10.1142/S0129167X17500112

M3 - Research Article

AN - SCOPUS:85012877608

SN - 0129-167X

VL - 28

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 2

M1 - 17500112

ER -

Duality, Bridgeland wall-crossing and flips of secant varieties

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this