Results 11 to 20 of about 2,004 (98)

Determinantal Characterization of Canonical Curves and Combinatorial Theta Identities

Mathematische Annalen, 2012
We characterize genus g canonical curves by the vanishing of combinatorial products of g+1 determinants of Brill-Noether matrices. This also implies the characterization of canonical curves in terms of (g-2)(g-3)/2 theta identities.
A. Polishchuk, B. Dubrovin, B. Geemen van, B. Geemen van, B. Saint-Donat, C. Birkenhake, E. Arbarello, E. Arbarello, E. Arbarello, E. Arbarello, E. Arbarello, E. Arbarello, E. D’Hoker, F.O. Schreyer, G. Marini, G.E. Welters, G.E. Welters, I.M. Krichever, I.M. Krichever, K. Petri, M. Mulase, Marco Matone, R. Donagi, R. Donagi, R.C. Gunning, R.C. Gunning, Roberto Volpato, S. Casalaina-Martin, S. Grushevsky, T. Shiota   +29 more
core   +3 more sources

Vector bundles on curves and theta functions [PDF]

, 2005
This is a survey lecture on the “theta map” from the moduli space of SLr-bundles on a curve C to the projective space of r-th order theta functions on JC. Some recent results and a few open problems about that map are discussed.
A. Beauville
semanticscholar   +1 more source

Castelnuovo theory and the geometric Schottky problem

, 2006
We prove and conjecture results which show that Castelnuovo theory in projective space has a close analogue for abelian varieties. This is related to the geometric Schottky problem: our main result is that a principally polarized abelian variety ...
Pareschi, Giuseppe, Popa, Mihnea
core   +3 more sources

Extending the Belavin-Knizhnik "wonderful formula" by the characterization of the Jacobian

, 2012
A long-standing question in string theory is to find the explicit expression of the bosonic measure, a crucial issue also in determining the superstring measure. Such a measure was known up to genus three.
A Beilinson, A Belavin, A Belavin, A Morozov, A Morozov, AM Polyakov, C Poor, D Mumford, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, E D’Hoker, EP Verlinde, F Dalla Piazza, FD Piazza, FD Piazza, JM Guilarte, M Matone, M Matone, M Matone, M Matone, M Matone, M Matone, M Matone, M Oura, Marco Matone, N Berkovits, P Dunin-Barkowski, R Salvati-Manni, S Grushevsky, S Grushevsky, SL Cacciatori, SL Cacciatori, SL Cacciatori, T Ichikawa, T Ichikawa, Y Manin   +45 more
core   +1 more source

Dispersionless Hirota equations and the genus 3 hyperelliptic divisor [PDF]

, 2019
Equations of dispersionless Hirota type have been thoroughly investigated in the mathematical physics and differential geometry literature. It is known that the parameter space of integrable Hirota type equations in 3D is 21-dimensional and the action of
Cléry, Fabien, Ferapontov, Evgeny V.
core   +2 more sources

The Schottky problem in genus five [PDF]

, 2012
In this paper, we present a solution to the Schottky problem in the spirit of Schottky and Jung for genus five curves. To do so, we exploit natural incidence structures on the fibers of several maps to reduce all questions to statements about the Prym ...
Siegel, Charles
core  

Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains

, 2004
We study the integrable structure of the Dirichlet boundary problem in two dimensions and extend the approach to the case of planar multiply-connected domains.
A Zabrodin, A. Marshakov, Aharonov, I. Krichever, Kazakov, Krichever, Krichever, Marshakov, Mineev-Weinstein, Takasaki, Takhtajan, Wiegmann, Wit   +12 more
core   +1 more source

Recent Advances in Laser‐Induced Graphene‐Based Gas Sensors: From Sensing Mechanisms to Biomedical Applications

Advanced Science, EarlyView.
Laser‐induced graphene (LIG) provides a scalable, laser‐direct‐written route to porous graphene architecture with tunable chemistry and defect density. Through heterojunction engineering, catalytic functionalization, and intrinsic self‐heating, LIG achieves highly sensitive and selective detection of NOX, NH3, H2, and humidity, supporting next ...
Md Abu Sayeed Biswas, Ankan Dutta, Shuvendu Das, Abu Musa Abdullah, Wanqing Zhang, Fatema Tuz Zohra, Huanyu Cheng   +6 more
wiley   +1 more source

Green Fuel Combustion Synthesis of CeO2 and Ag/CeO2 Nanoparticles for Photocatalytic and Antibacterial Applications

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Silver‐doped cerium oxide nanoparticles (Ag/CeO2 NPs) were synthesized using Ricinus communis seed extract as a bio‐derived fuel in a solution combustion method. The combustion reaction, carried out at 450°C with AgNO3 and (NH4)2[Ce (NO3)6] as metal precursors, produced CeO2 and Ag/CeO2 NPs.
T. N. Ravishankar, J. R. Adarsha, R. Mohan Reddy, S. Harisha, A. Ananda, B. M. Shilpa   +5 more
wiley   +1 more source

Prym varieties and their moduli [PDF]

, 2011
We discuss the geometry of the moduli space of Prym varieties. The article is based on series of lectures given in Bedlewo and Luminy. The first section of the paper contains a detailed historical account of the lives of Friedrich Prym and Friedrich ...
Farkas, Gavril
core   +1 more source