Jonathan Wise
YOU?
Author Swipe
View article: Residues and Gorenstein Contractions of Genus One Curves
Residues and Gorenstein Contractions of Genus One Curves Open
Let $C$ be a genus one nodal curve over a local artinian base and let $E$ be a proper subcurve of genus one. We define residues for curves over local artinian rings, then define generalized residues with values in line bundles over the loc…
View article: Tropical pseudostable curves
Tropical pseudostable curves Open
We study the tropical version of the contraction morphism $\mathcal{T}$ between moduli spaces of stable and pseudostable curves. By promoting $\mathcal{T}$ to a logarithmic morphism, we obtain a piecewise linear function between the genera…
View article: Remarks on logarithmic étale sheafification
Remarks on logarithmic étale sheafification Open
We prove criteria for a presheaf on logarithmic schemes to be a sheaf in the full logarithmic étale topology and describe several situations where the structure sheaf and logarithmic structure are logarithmic étale sheaves. We deduce that …
View article: The monodromy pairing for logarithmic1-motifs
The monodromy pairing for logarithmic1-motifs Open
We describe a 3-step filtration on all logarithmic abelian varieties with\nconstant degeneration. The obstruction to descending this filtration, as a\nvariegated extension, from logarithmic geometry to algebraic geometry is\nencoded in a b…
View article: The logarithmic Picard group and its tropicalization
The logarithmic Picard group and its tropicalization Open
We construct the logarithmic and tropical Picard groups of a family of logarithmic curves and realize the latter as the quotient of the former by the algebraic Jacobian. We show that the logarithmic Jacobian is a proper family of logarithm…
View article: Pseudostable Hodge integrals
Pseudostable Hodge integrals Open
This paper initiates a study of Hodge integrals on moduli spaces of pseudostable curves. We prove an explicit comparison formula that allows one to effectively compute any pseudostable Hodge integral in terms of intersection numbers on mod…
View article: The Logarithmic Picard group and its Tropicalization
The Logarithmic Picard group and its Tropicalization Open
We construct the logarithmic and tropical Picard groups of a family of logarithmic curves and realize the latter as the quotient of the former by the algebraic Jacobian. We show that the logarithmic Jacobian is a proper family of logarithm…
View article: The 2-category of 2-term complexes
The 2-category of 2-term complexes Open
We describe some of the basic properties of the 2-category of 2-term complexes in an abelian category, using butterflies as morphisms.
View article: Costello's pushforward formula: errata and generalization
Costello's pushforward formula: errata and generalization Open
K. Costello's Pushforward Formula is not correct as stated. We verify it holds under an assumption of properness or of a weaker notion we call "purity." We then check many papers that used this formula to make sure it holds in their contex…
View article: Moduli of stable maps in genus one and logarithmic geometry, I
Moduli of stable maps in genus one and logarithmic geometry, I Open
This is the first in a pair of papers developing a framework for the application of logarithmic structures in the study of singular curves of genus [math] . We construct a smooth and proper moduli space dominating the main component of Kon…
View article: The monodromy pairing for logarithmic 1-motifs
The monodromy pairing for logarithmic 1-motifs Open
We describe a 3-step filtration on all logarithmic abelian varieties with constant degeneration. The obstruction to descending this filtration, as a variegated extension, from logarithmic geometry to algebraic geometry is encoded in a bili…
View article: Rational curves in the logarithmic multiplicative group
Rational curves in the logarithmic multiplicative group Open
The logarithmic multiplicative group is a proper group object in logarithmic schemes, which morally compactifies the usual multiplicative group. We study the structure of the stacks of logarithmic maps from rational curves to this logarith…
View article: Estimates of Ta strength at ultrahigh pressures and strain rates using thin-film graded-density impactors
Estimates of Ta strength at ultrahigh pressures and strain rates using thin-film graded-density impactors Open
In this paper, we present results from an experimental technique used to estimate the strength of Ta at extreme pressures (150 GPa) and strain rates (107s-1). A graded-density impactor (GDI) was fabricated using sputter deposition to produ…
View article: Thin film graded density impactors for high rate off-Hugoniot loading: Application to Ta strength
Thin film graded density impactors for high rate off-Hugoniot loading: Application to Ta strength Open
Graded density impactors (GDIs) have long been of interest to provide off-Hugoniot loading capabilities for impact systems. We describe a new technique which utilizes sputter deposition to produce an approximately 40 μm-thick film containi…
View article: Uniqueness of minimal morphisms of logarithmic schemes
Uniqueness of minimal morphisms of logarithmic schemes Open
We give a sufficient condition under which the moduli space of morphisms between logarithmic schemes is quasifinite under the moduli space of morphisms between the underlying schemes. This implies that the moduli space of stable maps from …
View article: Birational invariance in logarithmic Gromov–Witten theory
Birational invariance in logarithmic Gromov–Witten theory Open
Gromov–Witten invariants have been constructed to be deformation invariant, but their behavior under other transformations is subtle. We show that logarithmic Gromov–Witten invariants are also invariant under appropriately defined logarith…
View article: Relative and orbifold Gromov�Witten invariants
Relative and orbifold Gromov�Witten invariants Open
We prove that genus 0 Gromov-Witten invariants of a smooth scheme relative to a smooth divisor coincide with genus 0 orbifold Gromov-Witten invariants of an appropriate root stack construction along the divisor.The proof is given at the le…
View article: Relative and orbifold Gromov�Witten invariants
Relative and orbifold Gromov�Witten invariants Open
We prove that genus 0 Gromov-Witten invariants of a smooth scheme relative to a smooth divisor coincide with genus 0 orbifold Gromov-Witten invariants of an appropriate root stack construction along the divisor.The proof is given at the le…
View article: Relative and orbifold Gromov�Witten invariants
Relative and orbifold Gromov�Witten invariants Open
We prove that genus 0 Gromov-Witten invariants of a smooth scheme relative to a smooth divisor coincide with genus 0 orbifold Gromov-Witten invariants of an appropriate root stack construction along the divisor.The proof is given at the le…
View article: An introduction to moduli stacks, with a view towards Higgs bundles on algebraic curves
An introduction to moduli stacks, with a view towards Higgs bundles on algebraic curves Open
This article is based in part on lecture notes prepared for the summer school "The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles" at the Institute for Mathematical Sciences at the National University of Singapore in July…
View article: Observation and simulation of motion and deformation for impact-loaded metal cylinders
Observation and simulation of motion and deformation for impact-loaded metal cylinders Open
Complementary gas-gun experiments and computational simulations have examined the time-resolved motion and post-mortem deformation of cylindrical metal samples subjected to impact loading. The effect of propagation distance on a compressiv…
View article: Comparative shock response of additively manufactured versus conventionally wrought 304L stainless steel
Comparative shock response of additively manufactured versus conventionally wrought 304L stainless steel Open
Gas-gun experiments have probed the compression and release behavior of impact-loaded 304L stainless steel specimens that were machined from additively manufactured (AM) blocks as well as baseline ingot-derived bar stock. The AM technology…