We identify some classes $$\mathcal {C}$$ of mixed groups such that if $$G\in \mathcal has the cancellation property then Walk-endomorphism ring G unit lifting property. In particular, is a self-small group torsion-free rank at most 4 with it decomposition $$G=F\oplus H$$ F free and H

We present the discovery and confirmation of a transiting hot, bloated Super-Neptune using photometry from TESS LCOGT radial velocity measurements HARPS. The host star TOI-2498 is V = 11.2, G-type (T$_{eff}$ 5905 $\pm$ 12K) solar-like with mass 1.12 0.02 M$_{\odot}$ radius 1.26 0.04 R$_{\odot}$. planet, b, orbits period 3.7 days, has 6.1 0.3 R$_{\oplus}$, 35 4 M$_{\oplus}$. This results in dens...

The TOI-1130 is a known planetary system around K-dwarf consisting of gas giant planet, c, on an 8.4-day orbit, accompanied by inner Neptune-sized b, with orbital period 4.1 days. We collected precise radial velocity (RV) measurements the HARPS and PFS spectrographs as part our ongoing RV follow-up program. perform photodynamical modeling RVs, transit photometry from Transiting Exoplanet Survey...

We prove a two-sided transference theorem between $$L^{p}$$ spherical multipliers on the compact symmetric space U/K and vector $$i{\mathfrak {p}},$$ where Lie algebra of U has Cartan decomposition $$\mathfrak {k\oplus }i{\mathfrak {p}}$$ . This generalizes classic deLeeuw relating $$ L^{p}(\mathbb {T)}$$ $$L^{p}(\mathbb {R)}$$

As the number of detected rocky extrasolar planets increases, question whether their surfaces could be habitable is becoming more pertinent. On Earth, long-term carbonate silicate cycle able to regulate surface temperatures over timescales larger than one million years. Elevated enhance weathering, removing CO$_2$ from atmosphere, which subducted into mantle. At mid-ocean ridges, supplied atmos...

This work concerns the relation between geometry of Lagrangian Grassmannians and CKP integrable hierarchy. The Lagrange map from Grassmannian maximal isotropic (Lagrangian) subspaces a finite dimensional symplectic vector space $V\oplus V^*$ into projectivization exterior $\Lambda V$ is defined by restricting Pl\"ucker on full to sub-Grassmannian composing it with projection subspace symmetric ...

Aims. On Earth, plate tectonics play an integral role in driving the long-term carbon cycle; however, on tidally locked rocky exoplanets alternative tectonic mechanisms driven by tidal stress and heating could serve analogous way. Methods. We calculate rates to model likelihood of activity maintaining stable climates suitable for surface liquid water with radii ${R}_{p}$ $\le$ 1.23R$_\oplus$. R...

We present 127 new transit light curves for 39 hot Jupiter systems, obtained over the span of five years by two ground-based telescopes. A homogeneous analysis these newly collected together with archived spectroscopic, photometric, and Doppler velocimetric data using EXOFASTv2 leads to a significant improvement in physical orbital parameters each system. All our stellar radii are constrained a...

Compact protoplanetary disks with a radius of $\lesssim$ 50 au are common around young low-mass stars. We report high resolution ALMA dust continuum observations toward compact disk CW Tau at Band 4 ($\lambda=2.2$ mm), 6 (1.3 7 (0.89 mm) and 8 (0.75 mm). The SED shows the spectral slope $2.0\pm0.24$ between 0.75 1.3 mm, while it is $3.7\pm0.29$ 2.17 3.56 mm. steep mm consistent that optically t...

For a manifold $M$ endowed with Legendrean (or Lagrangean) contact structure $E\oplus F \subset TM$, we give an elementary construction of invariant partial connection on the quotient bundle $TM/F$. This permits us to develop naïve version relative tractor calculus and construct second order differential operator, which turns out be first BGG operator induced by connection.