Results 101 to 110 of about 407 (175)

Theta divisors of stable vector bundles may be nonreduced

, 2015
18 pages. Appendix by Christian Pauly.A generic strictly semistable bundle of degree zero over a curve X has a reducible theta divisor, given by the sum of the theta divisors of the stable summands of the associated graded bundle.
Hitching, George H., Pauly, With An Appendix By Christian   +1 more
core  

Categorical Torelli theorems: results and open problems. [PDF]

Rend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

A log resolution for the theta divisor of a hyperelliptic curve

In this paper, we prove that the theta divisor of a smooth hyperelliptic curve has a natural and explicit embedded resolution of singularities using iterated blowups of Brill-Noether subvarieties. We also show that the Brill-Noether stratification of the
Schnell, Christian, Yang, Ruijie
core  

On a Divisor Modular Form and a Theta Lift

In 1975, Zagier introduced the highly influential hyperbolic Poincaré series $f_{k,D}$. We connect the divisor modular form of $f_{k,D}$ to a new weak Maass form $ω_{k+1,D}$. Furthermore, we show that the generating function of $ω_{k+1,D}$ has the same modularity properties as Kohnen and Zagier's fruitful theta kernel generating the $f_{k,D}$'s.
Mono, Andreas, Rolen, Larry, Stumpenhusen, Johann   +2 more
openaire   +2 more sources

Extraction of Individual EEG Gamma Frequencies from the Responses to Click-Based Chirp-Modulated Sounds. [PDF]

Sensors (Basel), 2023
Mockevičius A, Yokota Y, Tarailis P, Hasegawa H, Naruse Y, Griškova-Bulanova I.   +5 more
europepmc   +1 more source

Hirota, Fay and geometry. [PDF]

Lett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source

Polynomial Analogs of Theta Functions and Rational Solutions of the KP Equation

<p>In this paper we classify the singular curves whose theta divisors in their generalized Jacobians are algebraic, meaning that they are cut out by polynomial analogs of theta functions.
Agostini, Daniele, Celik, Turku Ozlum, Little, John B.   +2 more
core   +1 more source

Mock Modularity at Work, or Black Holes in a Forest. [PDF]

Entropy (Basel)
Alexandrov S.
europepmc   +1 more source

Diviseur Theta et Formes Differentielles

, 2010
In this papers, we study the geometric and arithmetic properties of the theta divisor associated to the sheaf of locally exact differential forms over a curve in positive characteristic.
TONG, Jilong
core  

Theta functions, broken lines and 2-marked log Gromov-Witten invariants. [PDF]

Manuscr Math
Gräfnitz T.
europepmc   +1 more source