Deformation Theory and The Computation of Zeta Functions

By Alan G. B. Lauder. 2004

61 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Information Systems

View Paper: https://www.semanticscholar.org/paper/4c318c516dddbb2c7d363bf0702af4bd8262d861

How researchers see this paper

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

In Computational Theory and Mathematics

1. David Lubicz
2. Reynald Lercier
3. David Roe
4. Timothy G. Abbott
5. Kiran S. Kedlaya
6. Alan G. B. Lauder
7. T. Mochizuki
8. Ruochuan Liu

In Geometry and Topology

1. David Lubicz
2. Reynald Lercier
3. David Roe
4. Timothy G. Abbott
5. Kiran S. Kedlaya
6. Ruochuan Liu
7. Peter Scholze
8. Alan G. B. Lauder

In Information Systems

1. David Lubicz
2. David Roe
3. Timothy G. Abbott
4. Reynald Lercier
5. Kiran S. Kedlaya

Citations in the corpus

• Bounding Picard numbers of surfaces using p-adic cohomology (2006, methodology): “This is the “deformation” method of Lauder [30, 31]; it has been tested experimentally for families of elliptic curves by Gerkmann [15] and has been theoretically analyzed for hyperelliptic curves by Hubrechts [23] (where it already gives some improvement over the direct method), but we are not awar”
• A quasi quadratic time algorithm for hyperelliptic curve point counting (2006, methodology): “These methods rely on either Monsky-Washnitzer cohomology as described in [Ked01] and [DV02] or on Dwork cohomology as in [Lau04a,LW04, Lau04b ,LW02].”