Kavli Affiliate: David N. Spergel | First 5 Authors: Stefania Amodeo, Nicholas Battaglia, Emmanuel Schaan, Simone Ferraro, Emily Moser | Summary: The thermal and kinematic Sunyaev-Zel’dovich effects (tSZ, kSZ) probe the thermodynamic properties of the circumgalactic and intracluster medium (CGM and ICM) of galaxies, groups, and clusters, since they are proportional, respectively, to the integrated […]

Kavli Affiliate: Tomoyuki Abe | First 5 Authors: Tomoyuki Abe, Christopher Lazda, , , | Summary: We construct proper pushforwards for partially proper morphisms of analytic adic spaces. This generalises the theory due to van der Put in the case of rigid analytic varieties over a non-Archimedean field. For morphisms which are smooth and partially […]

Kavli Affiliate: Tomoyuki Abe | First 5 Authors: Tomoyuki Abe, Christopher Lazda, , , | Summary: For any separated, taut, locally of $^+$weakly finite type morphism $f:Xrightarrow Y$ between finite dimensional, analytic adic spaces, we construct the higher direct images with compact support $mathbf{R}^qf_!mathscr{F}$ of any abelian sheaf $mathscr{F}$ on $X$. The basic approach follows […]

Kavli Affiliate: Yukinobu Toda | First 5 Authors: Yalong Cao, Yukinobu Toda, , , | Summary: Let $X$ be a Calabi-Yau 4-fold and $D$ a smooth divisor on it. We consider tautological complex associated with $L=mathcal{O}_X(D)$ on the moduli space of Le Potier stable pairs and define its counting invariant by integrating the Euler class […]