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Hirota varieties and rational nodal curves.
- Source :
-
Journal of Symbolic Computation . Jan2024, Vol. 120, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- The Hirota variety parameterizes solutions to the KP equation arising from a degenerate Riemann theta function. In this work, we study in detail the Hirota variety arising from a rational nodal curve. Of particular interest is the irreducible subvariety defined as the image of a parameterization map, we call this the main component. Proving that this is an irreducible component of the Hirota variety corresponds to solving a weak Schottky problem for rational nodal curves. We solve this problem up to genus nine using computational tools. [ABSTRACT FROM AUTHOR]
- Subjects :
- *KADOMTSEV-Petviashvili equation
*PROBLEM solving
*PARAMETERIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 07477171
- Volume :
- 120
- Database :
- Academic Search Index
- Journal :
- Journal of Symbolic Computation
- Publication Type :
- Academic Journal
- Accession number :
- 164964879
- Full Text :
- https://doi.org/10.1016/j.jsc.2023.102239