Degeneration techniques in the study of threefolds

2006 ◽  
pp. 93-154 ◽  
Author(s):  
C. H. Clemens
Keyword(s):  
Degeneration Techniques

Mini-Workshop: Degeneration Techniques in Representation Theory

2020 ◽  
Vol 16 (4) ◽  
pp. 2869-2909
Author(s):  
Evgeny Feigin ◽  
Ghislain Fourier ◽  
Martina Lanini
Keyword(s):  
Representation Theory ◽  
Degeneration Techniques

scholarly journals A 24mW, 5Gb/s fully balanced differential output trans-impedance amplifier with active inductor and capacitive degeneration techniques in 0.18µm CMOS technology

2010 ◽  
Vol 7 (4) ◽  
pp. 308-313 ◽  
Author(s):  
B. Shammugasamy ◽  
T. Z. A. Zulkifli ◽  
H. Ramiah
Keyword(s):  
Cmos Technology ◽  
Active Inductor ◽  
Degeneration Techniques

Quantitative em study of projection terminals in the rat's AV thalamic nucleus. Autoradiographic and degeneration techniques compared

1976 ◽  
Vol 117 (3) ◽  
pp. 399-422 ◽  
Author(s):  
Jan J. Dekker ◽  
Henricus G.J.M. Kuypers
Keyword(s):  
Thalamic Nucleus ◽  
Degeneration Techniques

Designing LC VCOs Using Capacitive Degeneration Techniques

2005 ◽  
Vol 15 (02) ◽  
pp. 319-351 ◽  
Author(s):  
Byunghoo Jung ◽  
Ramesh Harjani
Keyword(s):  
High Frequency ◽  
Oscillation Frequency ◽  
Tuning Range ◽  
Cmos Technology ◽  
Negative Resistance ◽  
Wide Tuning Range ◽  
Test Vehicle ◽  
Bicmos Technology ◽  
Simulation Results ◽  
Degeneration Techniques

In this paper, we present a detailed analysis of VCOs using a capacitively degenerated negative resistance cell. The negative resistance cell using capacitive degeneration has a higher maximum attainable oscillation frequency and a smaller equivalent shunt capacitance when compared to the widely used cross-coupled negative-gm cell. These properties are of particular interest for the design of high-frequency and/or wide tuning range VCOs. The negative resistance provided by a traditional capacitively degenerated negative resistance cell is lower than that provided by a cross-coupled negative-gm cell. We present an active capacitive degeneration topology that overcomes this limitation. To validate this circuit topology we use two test vehicles. The first test vehicle is a 5.3 GHz VCO designed in a 0.25 μm CMOS technology and the second test vehicle is a 20 GHz VCO designed in a 0.25 μm BiCMOS technology. Measurement and simulation results from both test vehicles effectively demonstrate the efficacy of the capacitive degeneration technique.

Two degeneration techniques for maps of curves

2005 ◽  
pp. 137-143
Author(s):  
Brian Osserman
Keyword(s):  
Degeneration Techniques

Subdivision of the trigeminal sensory root

1971 ◽  
Vol 35 (5) ◽  
pp. 585-591 ◽  
Author(s):  
W. Frank Emmons ◽  
Albert L. Rhoton
Keyword(s):  
Trigeminal Nerve ◽  
Rhesus Monkeys ◽  
Content Type ◽  
Sensory Nucleus ◽  
Trigeminal Root ◽  
Spinal Nucleus ◽  
Degeneration Techniques ◽  
Rostral Portion ◽  
Motor Root ◽  
Sensory Root

✓ In 16 rhesus monkeys, rhizotomy of the whole trigeminal nerve and selective rhizotomy of each division were carried out, and neural degeneration techniques used, to determine whether a trigeminal root component exists which projects only to the main sensory or spinal nucleus of the trigeminal nerve. Such a root component was not found. Section of the rostral trigeminal fibers resulted in degeneration in both the main sensory nucleus and the spinal trigeminal nucleus. Section of the caudal fibers of the root produced degeneration similar to third division transection, indicating that the caudal fibers are from that division. The first- and third-division fibers were found to project to the ventral and dorsal portions of the main sensory nucleus and spinal nucleus. Findings showed that the most rostral portion of the root immediately adjacent to the motor root is predominately from the ophthalmic division. Some proprioception from the trigeminal area appears to be mediated through the medial cuneate nucleus because all the trigeminal divisions send some fibers to this nucleus.

scholarly journals Tropically constructed Lagrangians in mirror quintic threefolds

2020 ◽  
Vol 8 ◽  
Author(s):  
Cheuk Yu Mak ◽  
Helge Ruddat
Keyword(s):  
Holomorphic Curves ◽  
Mapping Class ◽  
Rational Homology ◽  
Symplectic Mapping ◽  
Special Lagrangian ◽  
Tropical Curves ◽  
Tropical Curve ◽  
Rational Homology Spheres ◽  
Quintic Threefold ◽  
Degeneration Techniques

Abstract We use tropical curves and toric degeneration techniques to construct closed embedded Lagrangian rational homology spheres in a lot of Calabi-Yau threefolds. The homology spheres are mirror dual to the holomorphic curves contributing to the Gromov-Witten (GW) invariants. In view of Joyce’s conjecture, these Lagrangians are expected to have special Lagrangian representatives and hence solve a special Lagrangian enumerative problem in Calabi-Yau threefolds. We apply this construction to the tropical curves obtained from the 2,875 lines on the quintic Calabi-Yau threefold. Each admissible tropical curve gives a Lagrangian rational homology sphere in the corresponding mirror quintic threefold and the Joyce’s weight of each of these Lagrangians equals the multiplicity of the corresponding tropical curve. As applications, we show that disjoint curves give pairwise homologous but non-Hamiltonian isotopic Lagrangians and we check in an example that $>300$ mutually disjoint curves (and hence Lagrangians) arise. Dehn twists along these Lagrangians generate an abelian subgroup of the symplectic mapping class group with that rank.

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