Abelian Varieties, Theta Functions and the Fourier Transform

By Alexander Polishchuk. 2003

201 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/18f51a291576862c53100fdcae0f153f9383b083

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

1. Raphaël Rouquier
2. Giuseppe Pareschi
3. Mihnea Cristian Popa
4. Alexander S. Kleshchev
5. Aaron D. Lauda
6. Jonathan Brundan
7. David E. V. Rose
8. I. Gordon

In Geometry and Topology

1. Mihnea Cristian Popa
2. Giuseppe Pareschi
3. Raphaël Rouquier
4. Alexander S. Kleshchev
5. Aaron D. Lauda
6. David E. V. Rose
7. C. Schnell
8. Jonathan Brundan

In Mathematical Physics

1. Mihnea Cristian Popa
2. Giuseppe Pareschi
3. Raphaël Rouquier
4. C. Schnell
5. I. Gordon
6. David E. V. Rose
7. Aaron D. Lauda
8. Mikhail Khovanov

Citations in the corpus

• Derived equivalences and finite dimensional algebras (2006, background): “This implies in particular that if A and B are derived equivalent abelian varieties, then there is a symplectic isomorphism Â × A ∼ −−→ B̂ × B (and the converse holds as well [71], [74]).”
• GV-sheaves, Fourier-Mukai transform, and generic vanishing (2006, background): “[ Po1 ], Theorem on p. 276, saying that there is a natural isomorphism of functors”
• Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves (2006, unknown): “For further elaborations, see [ Pol03 , PH05, BK3].”
• Techniques of computations of Dolbeault cohomology of solvmanifolds (2011, unknown): “([10]) Let β : C → C∗ be a unitary C∞-character of C.”