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Showing 1 to 20 of 20 for “"Rank 2"”.
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Four Generated Rank 2 Arithmetically Cohen-Macaulay Vector Bundles on General Sextic Surfaces
… moduli space, of four generated indecomposable rank 2 arithmetically Cohen-Macaulay: ACM for short) bundles on a general sextic surface.</p><p>In Chapter One we introduce preliminaries and prove on a general sextic surface, every four generated indecomposable rank 2 ACM bundle belongs to one of …
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Genus 0, 1, 2 actions of some almost simple groups of lie rank 2
<p>Please see the paper.</p> <p>Thanks.</p>
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A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie Algebras
… multiplicity in a purely combinatorial way for rank 2 Lie algebras. Each summand in the polynomial can be interpreted as a linear combination of positive roots. We prove that all negative coefficients are cancelled in the polynomial. Further, the analysis of the root systems allows us to state …
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Rational families of vector bundles on curves
… space of rational curves on moduli spaces M of rank 2 stable vector bundles with odd determinant on curves C of genus g [greater than or equal to] 2. We prove that the maximally rationally connected quotient of such a component is either the Jacobian J(C) or a direct sum of two copies of the …
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Entangled qubit pairs
… states, the generalized for Werner states and rank-2 states. • The technique of the rank-2 case is employed to study the case of rank-3 and the full rank, where we obtain all possible decompositions. Among them, we choose the one which has the largest splitting parameter. In this situation a …
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Holomorphic chains on the projective line
… chain is a tuple t of integers consisting of the ranks and degrees of the underlying vector bundles. The definition of holomorphic chains was introduced and their stability were defined by L. ´Alvarez-C´onsul and O. Garc´ıa-Prada. The moduli spaces of holomorphic chains were constructed using the …
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Mayer-Vietoris property for relative symplectic cohomology
… a barrier - roughly, a one parameter family of rank 2 co isotropic submanifolds. The proof uses a deformation argument in which the topological energy zero (i.e. constant) Floer solutions are the main actors.
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Estimation of ion drift velocity vector in F region ionosphere based on incoherent scattered pulse data using machine learning technique
… linear equations at each height and include a rank 2 regularization to solve the system of linear equations on a realistic basis.
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Enumerative invariants for local Calabi-Yau threefolds
… sheaves of dimension one on the total space of rank 2 bundle on P1 whose determinant is O(−2). We count the torus fixed stable sheaves of low degrees and show the results verify the predictions in physics and the local Gromov-Witten theory. In the second part, we compute the Poincar´e polynomial …
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Subdimensional particles and higher rank quantum phases of matter
… properties of quantum phases described by higher rank tensor gauge theories. In particular, symmetric tensor gauge theories describe stable phases of matter in three dimensions. We will demonstrate that these theories lead to an exotic new class of particles which are restricted to move only in …
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Geometry of the Hitchin Morphism and Spectral Correspondences
… isomorphism classes of sheaves of arbitrary rank on a given algebraic curve and twisted pairs on another algebraic curve, mostly from a linear-algebraic standpoint. We aim to generalize the language of classical spectral correspondence by the annihilating polynomials of pairs. In a particular …
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Representation theory of the global Cherednik algebra
… us relate the angular momentum algebra for a rank 3 Coxeter group to the rank 2 symplectic reflection algebra for a corresponding finite subgroup of SL2.
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RATIONAL POINTS ON SOME FAMILIES OF ELLIPTIC CURVES
… curves given by y^2=x^3-x+m^2, which has rank 2 when regarded as an elliptic curve over Q(m). (Here Q represents the field of rational numbers.) Brown and Myers show that a certain quadratic polynomial m(t) has the property that E_m(t) contains an additional rational point that is …
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Standing by the standards: military rank and social status in the Roman west from Augustus to Diocletian
… lives of military personnel according to their rank; 2) the tensions and benefits resulting from the social heterogeneity of those accorded the same military rank; 3) the importance, or perceived importance, of the military factor in the status and reception of the soldier or veteran within …
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Polynomial Structure in Semidefinite Relaxations and Non-Convex Formulations
… part, we study the global landscape of low-rank sum of squares problems, using a non-convex Burer-Monteiro formulation to decrease the computational cost but with the risk of getting stuck in local minima. We show that in the univariate case where the SDP solution is guaranteed to be rank-2, …
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Higher-rank gauge theories in condensed matter physics
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-12-01
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Development of a biomechanical surrogate for the evaluation of commotio cordis protection
… none were found to be biofidelic (Biofidelity Rank > 2). A new Sports Specific Thoracic Surrogate (SSTS) was developed and validated using the human response corridors (Biofidelity Rank = 1.2). The SSTS was used to evaluate 70 lacrosse chest protectors from ten (10) manufacturers. These data …
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Explicit moduli spaces for curves of genus 1 and 2
… on a modular curve of genus 2 and Jacobian of rank $2$ which arises as a double cover of the modular curve $X(\mathrm{ns}\, 3^+, \mathrm{ns}\, 5^+)$. As a consequence we obtain a new proof of the class number 1 problem. We construct infinite families of pairs of (geometrically non-isogenous) …
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Eulerian Properties of Design Hypergraphs and Hypergraphs with Small Edge Cuts
… Other authors have produced results about rank-2 universal cycles and 1-overlap cycles, which are equivalent to our definition of Euler tours. In contrast, an Euler family is a collection of nontrivial closed walks that jointly traverse every edge of the hypergraph exactly once and cannot …
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Homogeneous spaces with the cohomology of sphere products and compact quadrangles
… class of buildings: they are the buildings of rank 2. To compact quadrangles one can assign a pair of natural numbers called the topological parameters of the quadrangles. We treat the case k=1. It turns out that there are no other point-transitive compact connected Lie groups for …