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pro vyhledávání: '"Yoshikawa, Ken"'
We give a formula that relates the difference of the j-invariants with the Borcherds Phi-function, an automorphic form on the period domain for Enriques surfaces characterizing the discriminant divisor.
Comment: Section 8 added, references updat
Comment: Section 8 added, references updat
Externí odkaz:
http://arxiv.org/abs/2103.02540
Autor:
Dai, Xianzhe, Yoshikawa, Ken-Ichi
We introduce a holomorphic torsion invariant of log-Enriques surfaces of index two with cyclic quotient singularities of type $\frac{1}{4}(1,1)$. The moduli space of such log-Enriques surfaces with $k$ singular points is a modular variety of orthogon
Externí odkaz:
http://arxiv.org/abs/2009.10302
Autor:
Ma, Shouhei, Yoshikawa, Ken-Ichi
A holomorphic torsion invariant of K3 surfaces with involution was introduced by the second-named author. In this paper, we completely determine its structure as an automorphic function on the moduli space of such K3 surfaces. On every component of t
Externí odkaz:
http://arxiv.org/abs/1506.00437
Autor:
Yoshikawa, Ken-Ichi
In their study of genus-one string amplitude, Bershadsky-Cecotti-Ooguri-Vafa discovered a remarkable identification between holomorphic Ray-Singer torsion and instanton numbers for Calabi-Yau threefolds. The holomorphic torsion invariant for Calabi-Y
Externí odkaz:
http://arxiv.org/abs/1410.0212
Autor:
Yoshikawa, Ken-Ichi
In their papers published in 1993 and 1994, by expressing certain physical quantity in two distinct ways, Bershadsky-Cecotti-Ooguri-Vafa discovered a remarkable equivalence between Ray-Singer analytic torsion and elliptic instanton numbers for Calabi
Externí odkaz:
http://arxiv.org/abs/1409.0127
Publikováno v:
American Journal of Mathematics, 2018 Dec 01. 140(6), 1471-1519.
Externí odkaz:
https://www.jstor.org/stable/26979616
The Borcherds Phi-function is the automorphic form on the moduli space of Enriques surfaces characterizing the discriminant locus. In this paper, we give an algebro-geometric construction of the Borcherds Phi-function.
Externí odkaz:
http://arxiv.org/abs/1308.6454
Autor:
Yoshikawa, Ken-Ichi
We prove the logarithmic divergence of equivariant analytic torsion for one-parameter degenerations of projective algebraic manifolds, when the coefficient vector bundle is given by a Nakano semi-positive vector bundle twisted by the relative canonic
Externí odkaz:
http://arxiv.org/abs/1007.2835
Autor:
Yoshikawa, Ken-Ichi
We prove the automorphic property of the invariant of K3 surfaces with involution, which we obtained using equivariant analytic torsion, in the case where the dimension of the moduli space is less than or equal to 2.
Externí odkaz:
http://arxiv.org/abs/1007.2841
Autor:
Yoshikawa, Ken-Ichi
For one-parameter degenerations of compact K\"ahler manifolds, we determine the asymptotic behavior of the first Chern form of the direct image of a Nakano semi-positive vector bundle twisted by the relative canonical bundle, when the direct image is
Externí odkaz:
http://arxiv.org/abs/1007.2836