Nearby in the stack

Singularities of secant varieties · arXivDesk

1503.01099Mar 3, 2015Under a referee's request, non Du Bois secant varieties are presented in Section 4

Singularities of secant varieties

Chih-Chi Chou, Lei Song

Algebraic Geometry

Abstract

We study the singularities of the secant variety $Σ(X,L)$ associated to a smooth variety $X$ embedded by a sufficiently positive adjoint bundle $L$ . We show that $Σ(X,L)$ is always Du Bois singular. Examples of secant varieties with worse singularities when $L$

Briefing

What this paper is actually doing

Sign in and connect a model key to generate a briefing for this paper.

Claims

Methods

Limitations

Socratic margin

Ask the abstract

Questions are grounded in the title and abstract. If the PDF is required, arXivDesk will say so.

Sign in to ask questions about this paper.

Nearby in the stack

has weak positivity are provided. We also give a necessary and sufficient condition for

Σ(X, L)

to have rational singularities.

1911.09457

over 6 years ago

Refined de Jonquières divisors and secant varieties on algebraic curves

Mara Ungureanu

Algebraic Geometry

0712.2364

over 18 years ago

Singularities of the Secant Variety

Pete Vermeire

Algebraic Geometry Commutative Algebra

1011.5867

over 15 years ago

Secant Varieties of Segre--Veronese Varieties

Claudiu Raicu

Algebraic Geometry Commutative Algebra

2408.16736

almost 2 years ago

Invariants of the singularities of secant varieties of curves

Daniel Brogan

Algebraic Geometry

2109.05061

almost 5 years ago

Segre classes and invariants of singular varieties

Paolo Aluffi

Algebraic Geometry

2608.13405

3 days ago

Sites and Grothendieck Topologies, Sites and Sheaves

Arvid Siqveland

Algebraic Geometry