Stability conditions on curves

By Emanuele Macrì. Mathematical Research Letters, 2007

131 citations recorded by the source corpus.

We study some examples of Bridgeland-Douglas stability conditions on triangulated categories. From one side we give a complete description of the stability manifolds for smooth projective curves of positive genus. From the other side we study stability conditions on triangulated categories generated by an exceptional collection. In the case of the projective line this leads to the connectedness and simply-connectedness of the stability manifold.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7b6fb1592f412f8492ee72a283e011345d224cb6

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. Arend Bayer
2. Emanuele Macrì
3. Michael Usher
4. P. Seidel
5. C. Teleman
6. V. Golyshev

In Geometry and Topology

1. Emanuele Macrì
2. Arend Bayer
3. Chunyi Li
4. Benjamin Schmidt
5. P. Stellari
6. Yukinobu Toda
7. D. Huybrechts
8. Xiaolei Zhao

In Mathematical Physics

1. Emanuele Macrì
2. Arend Bayer
3. Chunyi Li
4. Yukinobu Toda
5. P. Stellari
6. Benjamin Schmidt
7. D. Huybrechts
8. Richard P. Thomas

Citations in the corpus

• The space of stability conditions on the local projective plane (2009, background): “Some examples of stability conditions on projective spaces were studied in [ Mac07 , ABL07, Ohk08].”