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Algebraic foliations and derived geometry II: the Grothendieck-Riemann-Roch theorem
This is the second of series of papers on the study of foliations in the setting of derived algebraic geometry based on the central notion of derived foliation. We introduce sheaf-like coefficients for derived foliations, called quasi-coherent crystals, and construct a certain sheaf of dg-algebras of differential operators along a given derived ...
Bertrand Toën, Gabriele Vezzosi
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Computation of aberration coefficients for plane-symmetric reflective optical systems using Lie algebraic methods [PDF]
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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A Study in Derived Algebraic Geometry
Dennis Gaitsgory, Nick Rozenblyum
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Complex reflection groups and K3 surfaces I [PDF]
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
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]
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]
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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All opinions are not equal: Toward a consensual approach to the development of drug policy
Abstract Drug policy has been subjected to much scrutiny from different stakeholder groups who present sometimes very different opinions on solutions to address a problem. Reconciling such differences, that are underpinned by both anecdotal and empirical evidence, is a priority yet to be fully achieved.
Gabriel T. W. Wong, Matthew Manning
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Bivariant derived algebraic cobordism [PDF]
We extend the derived algebraic bordism of Lowrey and Schürg to a bivariant theory in the sense of Fulton and MacPherson and establish some of its basic properties. As a special case, we obtain a completely new theory of cobordism rings of singular quasi-
Toni Annala
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We introduce a computer algorithm that incorporates the experience of battery researchers to extract information from experimental data reproducibly. This enables the fitting of complex models that take up to a few minutes to simulate. For validation, we process full‐cell GITT measurements to characterize the diffusivities of both electrodes non ...
Yannick Kuhn+3 more
wiley +1 more source