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🎵 Glitter
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From @… - False UFO stories created by military... sometimes intentionally terrorizing their own soldiers https://n…

How False UFO Stories Were Created - Sometimes Deliberately - by the US Military - Slashdot
Last year's Pentagon report reviewing UFO reports "left out the truth behind some of the foundational myths about UFOs," reports the Wall Street Journal. "The Pentagon itself sometimes deliberately fanned the flames, in what amounted to the U.S. government targeting its own citizens with disinforma...

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

Concave symplectic toric fillings
Aleksandra Marinkovi\'c
https://arxiv.org/abs/2506.03912 https://arxiv.org/pdf/2506.03912

Concave symplectic toric fillings
As shown by Etnyre and Honda in [EH], every contact 3-manifold admits infinitely many concave symplectic fillings that are mutually not symplectomorphic and not related by blow ups. In this note we refine this result in the toric setting by showing that every contact toric 3-manifold admits infinitely many concave symplectic toric fillings that are mutually not equivariantly symplectomorphic and not related by blow ups. The concave symplectic toric structure is constructed on certain linear and…

Star decompositions via orientations
Viktor Harangi
https://arxiv.org/abs/2506.05194 https://arxiv.org/pdf/2506.05194

Star decompositions via orientations
A $k$-star decomposition of a graph is a partition of its edges into $k$-stars (i.e., $k$ edges with a common vertex). The paper studies the following problem: given $k \leq d/2$, does the random $d$-regular graph have a $k$-star decomposition (asymptotically almost surely, provided that the number of edges is divisible by $k$)? Delcourt, Greenhill, Isaev, Lidický, and Postle proved the a.a.s. existence for every odd $k$ using earlier results regarding orientations satisfying certain degree co…

Atomic-scale mapping of interfacial phonon modes in epitaxial YBa2Cu3O7-{\delta} / (La,Sr)(Al,Ta)O3 thin films: The role of surface phonons
Joaquin E. Reyes Gonzalez, Charles Zhang, Rainni K. Chen, John Y. T. Wei, Maureen J. Lagos
https://arxiv.org/abs/2506.02237

Atomic-scale mapping of interfacial phonon modes in epitaxial YBa2Cu3O7-δ / (La,Sr)(Al,Ta)O3 thin films: The role of surface phonons
We investigate the behavior of phonons at the epitaxial interface between YBa2Cu3O7-δ thin film and (La,Sr)(Al,Ta)O3 substrate using vibrational electron energy loss spectroscopy. Interfacial phonon modes with different degrees of scattering localization were identified. We find evidence that surface contributions from the surrounding environment can impose additional scattering modulation into local EELS measurements at the interface. A method to remove those contributions is then used to iso…

Algebraic identities to prove that a neat finite free algebra is tracically \'etale
Claude Quitt\'e, Henri Lombardi
https://arxiv.org/abs/2506.03851

Algebraic identities to prove that a neat finite free algebra is tracically étale
The central objective of this article is to provide an elementary proof of the following theorem, of which we are unaware of any trace in the existing literature. If $B$ is a net finite free algebra over a commutative ring $A$, then it is tracically étale (its trace form is nondegenerate) and a fortiori étale over A. As indicated in the title, our proof is based on algebraic identities. This confirms the implicit adage that much of the most abstract commutative algebra is concentrated in alge…

This https://arxiv.org/abs/2408.11643 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

K3 surfaces with maximal complex multiplication
Following Valloni, we study complex projective K3 surfaces having complex multiplication by rings of integers.

$F$-injectivity does not imply $F$-fullness in normal domains
Alessandro De Stefani, Thomas Polstra, Austyn Simpson
https://arxiv.org/abs/2506.00646 https:…

$F$-injectivity does not imply $F$-fullness in normal domains
We construct examples of noetherian three-dimensional local geometrically normal domains of prime characteristic which are $F$-injective but not $F$-full. Along the way, we find examples of two-dimensional local geometrically normal domains which are $F$-injective but not $F$-anti-nilpotent. A crucial theme of our constructions is the behavior of $F$-injectivity along a purely inseparable finite base change.

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]