Smooth toric Deligne-Mumford stacks

By Barbara Fantechi, Étienne Mann, Fabio Nironi. 2010

140 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2f5c39c3689449269f1bff646d8c21466f39cdbb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. David Treumann
2. Chiu-Chu Melissa Liu
3. Bohan Fang
4. Tom Coates
5. Eric Zaslow
6. H. Iritani
7. Yunfeng Jiang
8. T. Kuwagaki

In Discrete Mathematics and Combinatorics

1. Tom Coates
2. David Treumann
3. Eric Zaslow
4. Yunfeng Jiang
5. Chiu-Chu Melissa Liu
6. Bohan Fang
7. H. Iritani
8. T. Kuwagaki

In Geometry and Topology

1. H. Iritani
2. David Treumann
3. Bohan Fang
4. Chiu-Chu Melissa Liu
5. Yunfeng Jiang
6. Tom Coates
7. T. Kuwagaki
8. Eric Zaslow

Citations in the corpus

• The nonequivariant coherent-constructible correspondence for toric stacks (2015, background): “en–Smith [BCS05] defined a certain combinatorial object called stacky fan and used it to construct smooth Deligne–Mumford stacks called toric DM stacks. Later, Iwanari [Iwa09] and Fantechi–Mann–Nironi [FMN10] give an intrinsic characterization of toric DM stacks of [BCS05]. However, toric DM stacks o”
• The Crepant Transformation Conjecture for Toric Complete Intersections (2014, background): “acts the divisor fzi= 0gto the subvariety j2M+fzj= 0g; (II-ii) a statement similar to (II-i) with + and interchanged; (III) ’induces an isomorphism Xrig + ˘=Xrig between the rigidications. 8See e.g. [38]. THE CREPANT TRANSFORMATION CONJECTURE 23 Proof. One can check that U!+ \U! = U!+ n T i2M fzi = ”
• LOCALIZATION IN GROMOV-WITTEN THEORY AND ORBIFOLD GROMOV-WITTEN THEORY (2011, unknown): “Later, more geometric definitions of toric orbifolds and toric DM stacks are given by Iwanari [27, 28] and by Fantechi-Mann-Nironi [19], respectively.”
• The Coherent-Constructible Correspondence for Toric Deligne-Mumford Stacks (2009, background): “A toric DM stack is called a reduced toric DM stack (in [3]) or a toric orbifold (in [10]) if its generic stabilizer is trivial.”