Results 1 to 10 of about 29,366 (70)

Relativistic triangle–curvature computing for federated HIV-1 protein-sequence monitoring [PDF]

Scientific Reports
Sequence-only surveillance of rapidly evolving pathogens must extract clinically meaningful structure from protein sequences without labels, central data pooling, or strong assumptions about data homogeneity.
Javier Villalba-Díez, Ana González-Marcos   +1 more
doaj   +2 more sources

Embeddings and immersions of tropical curves [PDF]

, 2015
We construct immersions of trivalent abstract tropical curves in the Euclidean plane and embeddings of all abstract tropical curves in higher dimensional Euclidean space.
Cartwright, Dustin, Dudzik, Andrew, Manjunath, Madhusudan, Yao, Yuan   +3 more
core   +1 more source

Algebraic rational cells and equivariant intersection theory [PDF]

, 2015
We provide a notion of algebraic rational cell with applications to intersection theory on singular varieties with torus action. Based on this notion, we study the algebraic analogue of $\mathbb{Q}$-filtrable varieties: algebraic varieties where a torus ...
Gonzales, Richard
core   +3 more sources

The theory of the exponential differential equations of semiabelian varieties [PDF]

, 2009
The complete first order theories of the exponential differential equations of semiabelian varieties are given. It is shown that these theories also arises from an amalgamation-with-predimension construction in the style of Hrushovski.
B. Zilber, B. Zilber, B. Zilber, D. Pierce, E. Bombieri, E. Hrushovski, E. Hrushovski, I.R. Shafarevich, J. Ax, J. Ax, Jonathan Kirby, M. Droste, M. Rosenlicht   +12 more
core   +2 more sources

Linear Toric Fibrations [PDF]

, 2013
These notes are based on three lectures given at the 2013 CIME/CIRM summer school. The purpose of this series of lectures is to introduce the notion of a toric fibration and to give its geometrical and combinatorial characterizations.
A. Dickenstein, A. Dickenstein, C. Casagrande, C. Haase, G. Ewald, L. Ein, M. Beltrametti, M. Mustata, O. Debarre, S. Rocco Di, S. Rocco Di, T. Oda, V.V. Batyrev   +12 more
core   +1 more source

The tropicalization of the moduli space of curves [PDF]

, 2014
We show that the skeleton of the Deligne-Mumford-Knudsen moduli stack of stable curves is naturally identified with the moduli space of extended tropical curves, and that this is compatible with the "naive" set-theoretic tropicalization map.
Abramovich, Dan, Caporaso, Lucia, Payne, Sam   +2 more
core   +2 more sources

On the Number of Embeddings of Minimally Rigid Graphs

, 2002
Rigid frameworks in some Euclidian space are embedded graphs having a unique local realization (up to Euclidian motions) for the given edge lengths, although globally they may have several.
Borcea, Ciprian, Streinu, Ileana
core   +3 more sources

Non-algebraic Examples of Manifolds with the Volume Density Property [PDF]

, 2016
Some Stein manifolds (with a volume form) have a large group of (volume-preserving) automorphisms: this is formalized by the (volume) density property, which has remarkable consequences.
Ramos-Peon, Alexandre
core   +2 more sources

Grassmann embeddings of polar Grassmannians [PDF]

, 2019
In this paper we compute the dimension of the Grassmann embeddings of the polar Grassmannians associated to a possibly degenerate Hermitian, alternating or quadratic form with possibly non-maximal Witt index.
Cardinali, Ilaria, Giuzzi, Luca, Pasini, Antonio   +2 more
core   +2 more sources

Rational smoothness, cellular decompositions and GKM theory

, 2014
We introduce the notion of Q-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Bialynicki-Birula decomposition are all rationally smooth.
Gonzales, R.
core   +1 more source