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Derived Algebraic Geometry [PDF]
, 2014 This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.Comment: Final version.
Bertrand Toën
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Soil spring stiffnesses for laterally loaded large diameter rigid caissons [PDF]
Scientific ReportsLaterally loaded large diameter caissons that exhibit rigid body motion are often analyzed by modeling the soil as equivalent springs. Equivalent soil spring stiffness is usually developed empirically.
Abhisek Paul, Dipanjan Basu
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Computation of aberration coefficients for plane-symmetric reflective optical systems using Lie algebraic methods [PDF]
EPJ Web of Conferences, 2022 The Lie algebraic method offers a systematic way to find aberration coefficients of any order for plane-symmetric reflective optical systems. The coefficients derived from the Lie method are in closed form and solely depend on the geometry of the optical
Barion Antonio +3 more
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Complex reflection groups and K3 surfaces I [PDF]
Épijournal de Géométrie Algébrique, 2021 We construct here many families of K3 surfaces that one can obtain as quotients of algebraic surfaces by some subgroups of the rank four complex reflection groups. We find in total 15 families with at worst $ADE$--singularities. In particular we classify
Cédric Bonnafé, Alessandra Sarti
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An Algebraic Approach to Identifiability
Algorithms, 2021 This paper addresses the problem of identifiability of nonlinear polynomial state-space systems. Such systems have already been studied via the input-output equations, a description that, in general, requires differential algebra.
Daniel Gerbet, Klaus Röbenack
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Steady state detection of chemical reaction networks using a simplified analytical method. [PDF]
PLoS ONE, 2010 Chemical reaction networks (CRNs) are susceptible to mathematical modelling. The dynamic behavior of CRNs can be investigated by solving the polynomial equations derived from its structure. However, simple CRN give rise to non-linear polynomials that are
Ivan Martínez-Forero +2 more
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Detection of Daily Precipitation Structure in Shiraz Synoptic Station [PDF]
نشریه جغرافیا و برنامهریزی, 2020 Introduction Recently, issues raised by changes in precipitation, especially problems brought about by floods and droughts, along with the environmental effects of diminished rainfall, have underscored the importance of precipitation studies at different
mahdi narangifard +3 more
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Applied Sciences, 2022 In this study, the authors simulate a polygonal discrete fracture network (DFN) in rock masses. The probability models of the relevant geological parameters, including the orientation, trace length, volume density, and coordinates of the centroid, are ...
Ang Li +4 more
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Arithmetic of Calabi-Yau Varieties and Rational Conformal Field Theory [PDF]
, 2001 It is proposed that certain techniques from arithmetic algebraic geometry provide a framework which is useful to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and the underlying conformal field theory. Specifically it
Candelas +16 more
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Chiral topological insulator on Nambu 3-algebraic geometry
Nuclear Physics B, 2014 Chiral topological insulator (AIII-class) with Landau levels is constructed based on the Nambu 3-algebraic geometry. We clarify the geometric origin of the chiral symmetry of the AIII-class topological insulator in the context of non-commutative geometry
Kazuki Hasebe
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