Abstract We report the confirmation of three exoplanets transiting TOI-4010 (TIC-352682207), a metal-rich K dwarf observed by Transiting Exoplanet Survey Satellite in Sectors 24, 25, 52, and 58. confirm these planets with High Accuracy Radial velocity Planet Searcher for Northern Hemisphere radial observations measure their masses 8−12% precision. b is sub-Neptune ( P = 1.3 days, <?CDATA ${R}_{...

For every $n$-dimensional smooth projective variety $X$ over ℂ, the motive $M(X)$ is expected to admit a Chow-Künneth decomposition $M_0(X)\oplus \cdots \oplus M_{2n}(X)$. Inspired by slice filtration of we propose definitions $M_2(X)$ and $M_{2n-2}(X)$. In our construction use intermediate Jacobians.

We fully characterise the solvability of Rado equations inside linear combinations $a_{1}\U\oplus\dots\oplus a_{n}\U$ idempotent ultrafilters $\U\in\beta\Z$ by exploiting known relations between such and strings integers. This generalises a partial characterization previously obtained Mauro Di Nasso.

‎In this paper‎, ‎some algebraic and geometrical properties of the rank$-k$ numerical hulls of normal matrices are investigated‎. ‎A characterization of normal matrices whose rank$-1$ numerical hulls are equal to their numerical range is given‎. ‎Moreover‎, ‎using the extreme points of the numerical range‎, ‎the higher rank numerical hulls of matrices of the form $A_1 oplus i A_2$‎, ‎where $A_1...

We present observations of two bright M dwarfs (TOI-1634 and TOI-1685: $J=9.5-9.6$) hosting ultra-short period (USP) planets, identified by the TESS mission. The stars are similar in temperature, mass, radius ($T_\mathrm{eff}\,\approx\,3500$ K, $M_\star\,\approx\,0.45-0.46\,M_\odot$, $R_\star\approx 0.45-0.46\,R_\odot$), planets both super-Earth-sized ($1.25\,R_\oplus<R_p<2.0\,R_\oplus$). For s...

We show how one may classify all semisimple algebras containing the $\mathfrak{su}(3)\oplus \mathfrak{su}(2) \oplus \mathfrak{u}(1)$ symmetry of Standard Model and acting on some given matter sector, enabling theories beyond with unification (partial or total) symmetries (gauge global) to be catalogued. With just a single generation fermions plus singlet neutrino, only {gauge} correspond well-k...

We present the discovery and characterization of two sub-Neptunes in close orbits, as well a tentative outer planet similar size, orbiting TOI-1260 - low metallicity K6V dwarf star. Photometry from TESS yields radii $R_{\rm b} = 2.33 \pm 0.10$ $R_{\oplus}$ c} 2.82 0.15$ $R_{\oplus}$, periods 3.13 7.49 days for TOI-1260b TOI-1260c, respectively. combined data with series ground-based follow-up o...