291 citations
- Institute of MathematicsPL6 papers
- University of California, Santa BarbaraUS5 papers
- Massachusetts Institute of TechnologyUS4 papers
- Purdue University West LafayetteUS4 papers
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21 papers · 1 filter
Algebraic structures on the topology of moduli spaces of curves and maps
Y. -P. Lee, R. Vakil
We discuss selected topics on the topology of moduli spaces of curves and maps, emphasizing their relation with Gromov--Witten theory and integrable systems.
A note on finite abelian gerbes over toric Deligne-Mumford stacks
Yunfeng Jiang
Any toric Deligne-Mumford stack is a -gerbe over the underlying toric orbifold for a finite abelian group . In this paper we give a sufficient condition so that certain kinds…
On Ueno's Conjecture K
Jungkai A. Chen, Christopher D. Hacon
We show that if is a smooth complex projective variety with Kodaira dimension then the Kodaira dimension of a general fiber of its Albanese map is at most .
On the geography of threefolds of general type
Jungkai A. Chen, Christopher D. Hacon
Let be a complex nonsingular projective 3-fold of general type. We show that there are positive constants , and such that $χ(ω_X)\geq -c\Vol (X)$ and $P_m(X)\geq…
Ample subvarieties and rationally connected fibrations
Mauro C. Beltrametti, Tommaso de Fernex, Antonio Lanteri
Under some positivity assumptions, extension properties of rationally connected fibrations from a submanifold to its ambient variety are studied. Given a family of rational curves…
Counting Bitangents with Stable Maps
David Ayala, Renzo Cavalieri
This paper is an elementary introduction to the theory of moduli spaces of curves and maps. As an application to enumerative geometry, we show how to count the number of bitangent…