The (m th plurigenus of a compact complex manifold (Y) is the dimension (h^0 Y, K_Y ^{otimes m})) of the space (H^0 Y, K_Y^{otimes m})) of global sections of the (m th tensor power of the canonical bundle (K_Y) of (Y).
Fundamental work of Griffiths on deformation of Hodge structures showed that the genera, i.e., the dimensions (h^0(X_t,K_{X_t})) of the global sections of the canonical bundle of (X_t), are independent of (t in {mathbb D}) (and we will see in a moment that this invariance also follows from the Ohsawa–Takegoshi Extension Theorem 5.4).
At the same time, their influence on the performance of the global section was assessed for both types of sub-ballast by means of a full-scale test.
Manivel was the first to generalize Theorem 5.2 to extension of holomorphic sections of a holomorphic vector bundle, from a subvariety cut out by a global section of a holomorphic vector bundle.
In order to construct the universal enveloping algebra (U mathfrak {m})), embed (G/H) into (G) by means of the map begin{aligned} gH mapsto rho (P g))^{-1}, end{aligned}which is a global section of the principal fibration (Grightarrow G/H).
Its Longworth cafeteria offered hungry representatives and aides a wide variety of fare for its return to business -- Indian food in the global section, pizza, salad and the special for the week, "world tacos".
Readers reported in the global section whether the additional evaluation of the ligamentous joint compartment provided an incremental value (expressed by the three categories "essential", "contributory" or "noncontributory") over and above the global assessment based on the cartilaginous joint compartment alone.
Currently the Permian System is subdivided into three series with global reference sections based on the Russian Cisuralian succession for the Lower Series, the West Texas Guadalupian for the Middle Series, and the Chinese Lopingian for the Upper Series.
Thus, the tomato detection procedure presented in Section 4.2 is of major interest as compared to our previous work [7, 8], as it improves the accuracy of the initialization algorithm (Section 4.4.1) and consequently the global performances (Section 4.4.2).
YK and YM wrote the "Sub-kilometer global simulation" section, and the experiments described in this section were carried out by the team at the Advanced Institute for Computational Science YMM, YK, HY, TY, and HT.
The global sustainability section employs about 75 people who work with vendors, many of them overseas.
