5 citations · 16 across the 10 of their papers we have counts for
11 papers
Galois lines for a canonical curve of genus 4, III: non-cyclic Galois lines
Shotaro Kato, Jiryo Komeda, Takeshi Takahashi
Let be a canonical curve of genus over an algebraically closed field of characteristic zero. For a line , we consider the p…
Lifts of line bundles on curves on K3 surfaces
Kenta Watanabe, Jiryo Komeda
Let be a K3 surface, let be a smooth curve of genus on , and let be a line bundle of degree on . Then a line bundle on with $M\otimes\mathcal{O}_C…
Algebraic construction of the sigma function for general Weierstrass curves
Jiryo Komeda, Shigeki Matsutani, Emma Previato
The Weierstrass curve is a smooth algebraic curve determined by the Weierstrass canonical form, ,…
Complementary Modules of Weierstrass Canonical Forms
Jiryo Komeda, Shigeki Matsutani, Emma Previato
The Weierstrass curve is a pointed curve with a numerical semigroup , which is a normalization of the curve given by the Weierstrass canonical form, $y^r + A_{1}(…
The sigma function for trigonal cyclic curves
Jiryo Komeda, Shigeki Matsutani, Emma Previato
A recent generalization of the "Kleinian sigma function" involves the choice of a point of a Riemann surface , namely a "pointed curve" . This paper concludes our ex…
Galois Weierstrass points whose Weierstrass semigroups are generated by two elements
Jiryo Komeda, Takeshi Takahashi
We investigate the number of Galois Weierstrass points whose Weierstrass semigroups are generated by two positive integers.
The Riemann constant for a non-symmetric Weierstrass semigroup
Jiryo Komeda, Shigeki Matsutani, Emma Previato
The zero divisor of the theta function of a compact Riemann surface of genus is the canonical theta divisor of Pic up to translation by the Riemann constant …
The Weierstrass semigroups on double covers of genus two curves
Takeshi Harui, Jiryo Komeda, Akira Ohbuchi
We show that three numerical semigroups <5,6,7,8>, <3,7,8 > and <3,5> are of double covering type, i.e., the Weierstrass semigroups of ramification points on double covers of curve…
Weierstrass semigroups on double covers of genus four curve
S. J. Kim, J. Komeda
Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramificati…
The sigma function for Weierstrass semigroups <3,7,8> and <6,13,14,15,16>
Jiryo Komeda, Shigeki Matsutani, Emma Previato
Compact Riemann surfaces and their abelian functions are instrumental to solve integrable equations; more recently the representation theory of the Monster and related modular form…
Sigma functions for a space curve of type (3, 4, 5)
Shigeki Matsutani, Jiryo Komeda
In this article, a generalized Kleinian sigma function for an affine (3,4,5) space curve of genus 2 was constructed as the simplest example of the sigma function for an affine spac…