Results 151 to 160 of about 407 (175)

Fronto-temporal interactions are functionally relevant for semantic control in language processing. [PDF]

PLoS One, 2017
Wawrzyniak M, Hoffstaedter F, Klingbeil J, Stockert A, Wrede K, Hartwigsen G, Eickhoff SB, Classen J, Saur D.   +8 more
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Moduli of pairs and generalized theta divisors

Moduli of pairs and generalized theta divisors
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The Theta Divisor

1992
In this section, we study the influence of the theta divisor on the Riemann surface X. The results were given by Riemann in his fundamental paper on abelian functions. The proofs given here are not very different from Riemann’s.
Raghavan Narasimhan, Narasimhan Raghavan   +1 more
exaly   +2 more sources

The degree of the Gauss map of the theta divisor

Algebra and Number Theory, 2017
We study the degree of the Gauss map of the theta divisor of principally polarised complex abelian varieties. Thanks to this analysis, we obtain a bound on the multiplicity of the theta divisor along irreducible components of its singular locus. We spell
Giulio Codogni, Samuel Grushevsky, Edoardo Sernesi   +2 more
exaly   +2 more sources

Geodesic equation and theta–divisor

AIP Conference Proceedings, 2008
The complete set of analytic solutions of the geodesic equation in Schwarzschild–(anti)de Sitter space–times is presented. The solutions are derived from the Jacobi inversion problem restricted to the set of zeros of the theta function, called the theta–divisor.
Eva Hackmann, Claus Lämmerzahl, Alfredo Macias, Claus Lämmerzahl, Abel Camacho   +4 more
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Theta Functions and Divisors

1972
Let M be a complex manifold. In the sequel, M will either be Cn or Cn/D where D is a lattice (discrete subgroup of real dimension 2n). Let U i be an open covering of M, and let ϕi be a meromorphic function on Ui. If for each pair of indices (i, j) the function ϕi /ϕj is holomorphic and invertible on Ui ∩ Uj, then we shall say that the family (Ui, ϕi ...
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On the generalized theta divisor

1997
Let \(\text{SU}_X(n)\) denote the moduli space of semistable rank \(n\) bundles with trivial determinant on a Riemann surface \(X\) of genus \(>1\). Let \(L\) be the ample generator of the Picard group of \(\text{SU}_X(n)\) [cf. \textit{J.-M. Drezet} and \textit{M. S. Narasimhan}, Invent. Math. 97, No. 1, 53-94 (1989; Zbl 0689.14012)].
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THE GEOMETRY OF THE POINCARÉ THETA-DIVISOR OF A PRYM VARIETY

Mathematics of the USSR-Izvestiya, 1975
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SPECTRAL CURVES, THETA DIVISORS AND PICARD BUNDLES

International Journal of Mathematics, 1991
Let \(X\) be a smooth projective curve of genus \(g>1\) over \(\mathbb{C}\) and \({\mathcal U}(r,d)\) the moduli space of semistable vector bundles of rank \(r\) and degree \(d\) on \(X\). The Picard Sheaf \({\mathcal E}_{r,d}\) on \({\mathcal U}(r,d)\) is the direct image sheaf of a universal Poincaré sheaf on \(X\times {\mathcal U}(r,d)\). Drezet and
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Singularities of the theta divisor and congruences of planes

1992
The paper gives a new proof of Torelli's theorem for smooth projective curves using the locus of double points of the theta divisor \(\theta\) of the Jacobian variety. To be more precise, the projectivized tangent cone to \(\theta\) at a double point \(t\) is a rank 4 quadric \(Q_ t\) in \(\mathbb{P}(H^ 1(C,{\mathcal O}_ C))\), which contains the ...
CILIBERTO C, SERNESI, Edoardo
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